R-separation for the Hamilton?Jacobi equation
Copyright policy )R-separation for the Hamilton?Jacobi equation
We present a non-trivial example of the occurrence of R-separation for the Hamilton—Jacobi equation on a complex Riemannian manifold. In our example the R-separation functions depends on a free parameter, this gives rise to a one-parameter family of R-separable solutions of the corresponding Helmholtz equation.
- University of Waikato New Zealand
Local differential geometry of Hermitian and Kählerian structures, Partial differential equations of mathematical physics and other areas of application, Applications of local differential geometry to the sciences, Helmholtz equation, Hamilton-Jacobi equations in mechanics, R-separation functions, Killing vectors
Local differential geometry of Hermitian and Kählerian structures, Partial differential equations of mathematical physics and other areas of application, Applications of local differential geometry to the sciences, Helmholtz equation, Hamilton-Jacobi equations in mechanics, R-separation functions, Killing vectors
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